Methods for MADM with Picture Fuzzy Muirhead Mean Operators and Their Application for Evaluating the Financial Investment Risk
In this article, we study multiple attribute decision-making (MADM) problems with picture fuzzy numbers (PFNs) information. Afterwards, we adopt a Muirhead mean (MM) operator, a weighted MM (WMM) operator, a dual MM (DMM) operator, and a weighted DMM (WDMM) operator to define some picture fuzzy aggr...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2018-12-01
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| Series: | Symmetry |
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| Online Access: | http://www.mdpi.com/2073-8994/11/1/6 |
| _version_ | 1811263257664552960 |
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| author | Rui Wang Jie Wang Hui Gao Guiwu Wei |
| author_facet | Rui Wang Jie Wang Hui Gao Guiwu Wei |
| author_sort | Rui Wang |
| collection | DOAJ |
| description | In this article, we study multiple attribute decision-making (MADM) problems with picture fuzzy numbers (PFNs) information. Afterwards, we adopt a Muirhead mean (MM) operator, a weighted MM (WMM) operator, a dual MM (DMM) operator, and a weighted DMM (WDMM) operator to define some picture fuzzy aggregation operators, including the picture fuzzy MM (PFMM) operator, the picture fuzzy WMM (PFWMM) operator, the picture fuzzy DMM (PFDMM) operator, and the picture fuzzy WDMM (PFWDMM) operator. Of course, the precious merits of these defined operators are investigated. Moreover, we have adopted the PFWMM and PFWDMM operators to build a decision-making model to handle picture fuzzy MADM problems. In the end, we take a concrete instance of appraising a financial investment risk to demonstrate our defined model and to verify its accuracy and scientific merit. |
| first_indexed | 2024-04-12T19:41:34Z |
| format | Article |
| id | doaj.art-0743271221b047c58c2106ba265ea6be |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-12T19:41:34Z |
| publishDate | 2018-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-0743271221b047c58c2106ba265ea6be2022-12-22T03:19:04ZengMDPI AGSymmetry2073-89942018-12-01111610.3390/sym11010006sym11010006Methods for MADM with Picture Fuzzy Muirhead Mean Operators and Their Application for Evaluating the Financial Investment RiskRui Wang0Jie Wang1Hui Gao2Guiwu Wei3School of Business, Sichuan Normal University, Chengdu 610101, ChinaSchool of Business, Sichuan Normal University, Chengdu 610101, ChinaSchool of Business, Sichuan Normal University, Chengdu 610101, ChinaSchool of Business, Sichuan Normal University, Chengdu 610101, ChinaIn this article, we study multiple attribute decision-making (MADM) problems with picture fuzzy numbers (PFNs) information. Afterwards, we adopt a Muirhead mean (MM) operator, a weighted MM (WMM) operator, a dual MM (DMM) operator, and a weighted DMM (WDMM) operator to define some picture fuzzy aggregation operators, including the picture fuzzy MM (PFMM) operator, the picture fuzzy WMM (PFWMM) operator, the picture fuzzy DMM (PFDMM) operator, and the picture fuzzy WDMM (PFWDMM) operator. Of course, the precious merits of these defined operators are investigated. Moreover, we have adopted the PFWMM and PFWDMM operators to build a decision-making model to handle picture fuzzy MADM problems. In the end, we take a concrete instance of appraising a financial investment risk to demonstrate our defined model and to verify its accuracy and scientific merit.http://www.mdpi.com/2073-8994/11/1/6MADMpicture fuzzy set (PFS)PFMM operatorPFWMM operatorPFDMM operatorPFWDMM operatorfinancial investment risk |
| spellingShingle | Rui Wang Jie Wang Hui Gao Guiwu Wei Methods for MADM with Picture Fuzzy Muirhead Mean Operators and Their Application for Evaluating the Financial Investment Risk Symmetry MADM picture fuzzy set (PFS) PFMM operator PFWMM operator PFDMM operator PFWDMM operator financial investment risk |
| title | Methods for MADM with Picture Fuzzy Muirhead Mean Operators and Their Application for Evaluating the Financial Investment Risk |
| title_full | Methods for MADM with Picture Fuzzy Muirhead Mean Operators and Their Application for Evaluating the Financial Investment Risk |
| title_fullStr | Methods for MADM with Picture Fuzzy Muirhead Mean Operators and Their Application for Evaluating the Financial Investment Risk |
| title_full_unstemmed | Methods for MADM with Picture Fuzzy Muirhead Mean Operators and Their Application for Evaluating the Financial Investment Risk |
| title_short | Methods for MADM with Picture Fuzzy Muirhead Mean Operators and Their Application for Evaluating the Financial Investment Risk |
| title_sort | methods for madm with picture fuzzy muirhead mean operators and their application for evaluating the financial investment risk |
| topic | MADM picture fuzzy set (PFS) PFMM operator PFWMM operator PFDMM operator PFWDMM operator financial investment risk |
| url | http://www.mdpi.com/2073-8994/11/1/6 |
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